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Finding the Third Proportional to 121,105.13 and 263,442.38

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Solution

The third proportional to 121,105.13 and 263,442.38 is: 573,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,105.13 : 263,442.38 = 263,442.38 : x
  2. Step 2: Convert to fraction form
    121,105.13/263,442.38 = 263,442.38/x
  3. Step 3: Cross multiply
    121,105.13x = 263,442.38 × 263,442.38
  4. Step 4: Simplify right side
    121,105.13x = 69,401,884,945.64
  5. Step 5: Solve for x
    x = 69,401,884,945.64/121,105.13
  6. Step 6: Final answer
    x = 573,071.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.